Commerce , Trade, Eloquence, Trickery, Negotiation, Alchemy and Wisdom.
(Medicine but incorrectly so or correctly now )
This Symbol is well known by many to symbolise the medical field but was incorrectly interpreted as a result of misunderstanding or confusion. In the United States it became established in the late 19th to early 20th century to represent medicine (lol). Anyway symbols mean what they are perceived to mean or maybe be conspiracy theory is right and its being used to represent what it did in the ancient world,which was trade and commerce…
The Actual symbol for medicine as used around the world (mostly ) is the Rod of Asclepius after the g-d Asclepius ,an ancient Greek deity associated with healing and medicinal arts.
Here is what it look like:
Here is how its used as a medical symbol internationally, correctly this time as the Star of Life, it represents medical service units and personal
Another than the caduceus totally being misused it does now represent to a large extent the medical field in the modern area (well at least in the USA and by uninformed medical establishments internationally.) So depending where you from or what you know it can stand for medicine.
The caduceus is the traditional symbol of Hermus or the staff He is often seen holding, a ancient Greek g-d know as a g-d of transitions and boundaries. Portrayed as a messenger of the g-ds he was considered to be an intercessor between morals and supreme beings, a conductor of souls into the after life (mmm, maybe the Americans got it right then, seems Hermus has something to do with the afterlife). However he was largely seen to represent commerce. In the Roman adaptation of the Greek pantheon , Hermes is identified with the Roman god Mercury, who, who developed many similar characteristics such as being the patron of commerce.
Hermus is seen as holding the two-snake caduceus which in ancient world was associated with with trade, eloquence, trickery, and negotiation, alchemy and wisdom.
(Hopefully this information is quite accurate but if there is anything to add or correct please comment below.)